66272 has 24 divisors (see below), whose sum is σ = 138600. Its totient is φ = 31104.

The previous prime is 66271. The next prime is 66293. The reversal of 66272 is 27266.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 554 + ... + 662.

It is an arithmetic number, because the mean of its divisors is an integer number (5775).

2⁶⁶²⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69300).

66272 is an abundant number, since it is smaller than the sum of its proper divisors (72328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66272 is a wasteful number, since it uses less digits than its factorization.

66272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 66272 is about 257.4334865553. The cubic root of 66272 is about 40.4678401404.

The spelling of 66272 in words is "sixty-six thousand, two hundred seventy-two".